On Relations for the Moment Generating Functions from the Extended Type II Generalized Logistic Distribution Based on k-tH Upper Record Values and a Characterization

Abstract

In this study we, give some new explicit expressions and recurrence relations satisfied by marginal and joint moment generating functions of k-th upper record values from extended type II generalized logistic distribution. Next we show that results for upper record values of this distribution can be derived from our result as special cases. Further, a characterizing result of this distribution on using the conditional expectation of upper record values is discussed.

Key words and phrases. Sample, order statistics, record values, marginal and joint moment generating functions, recurrence relations, extended type II generalized logistic distribution, characterization.

2000 Mathematics Subject Classification. 62G30, 62G99, 62E10